A plateau of a function is a part of its domain where the function has constant value. More formally, let U, V be topological spaces. A plateau for a function f: U → V is a path-connected set of points P of U such that for some y we have f (p) = y for all p in P. (Wikipedia).
Derivatives are the main object of study in differential calculus. They describe rates of change of functions. That makes them incredibly useful in all of science, as many models can be expressed by describing the changes over time (e.g. of physical quantities). However, the abstract defin
From playlist Summer of Math Exposition Youtube Videos
Calculus - What is a Derivative? (1 of 8) Overview
Visit http://ilectureonline.com for more math and science lectures! In this video I will give a general overview and the definition of “What is a derivative?”
From playlist CALCULUS 1 CH 2 WHAT IS A DERIVATIVE?
Where Does the Definition of the Derivative Come From?
A student asked about the definition of the derivative in class so I derived the definition really quickly. We had just finished covering infinite limits so we were not talking about derivatives yet, but it was such a good question that I thought I should share this here. I hope this hel
From playlist Calculus 1 Exam 1 Playlist
Geometry: Ch 5 - Proofs in Geometry (2 of 58) Definitions
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and give examples of definitions. Next video in this series can be seen at: https://youtu.be/-Pmkhgec704
From playlist GEOMETRY 5 - PROOFS IN GEOMETRY
Can You Define the Immeasurable?
What is infinity? Can you define something that, by definition, has no boundaries? A subject extensively studied by philosophers, mathematicians, and more recently, physicists and cosmologists, infinity still stands as an enigma of the intellectual world. We asked people from all walks of
From playlist Mathematics
Calculus 1: What is a Derivative? (2 of 9) A Derivative is the Slope of a Function
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the relationship between the tangent line at point P and the derivative at point P. Next video in the series can be seen at: http://youtu.be/kNwprrgfu_s
From playlist CALCULUS 1 CH 2 WHAT IS A DERIVATIVE?
Math 030 Calculus I 030415: Rigorous Definition of Derivative
Formal definition of differentiability at a point; definition of the derivative of a function; interpretation of differentiability at a point ("being line-like as one zooms in"); various notations for the derivative; differentiability implies continuity; examples of calculating the derivat
From playlist Course 2: Calculus I
How will the COVID-19 (coronavirus) epidemic end?
When will the COVID-19 / coronavirus epidemic end? How many people will die from it? How many people will get an infection? How much should you worry about it? This video hopefully can give you a sense of what to expect via a simple mathematical model. It is a standard one with reasonable
From playlist Novel topics (not in usual math curricula)
Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning
Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an
From playlist Maths Topics
Alejandro Ramos Lora - An understanding of the physical solutions and the blow-up phenomenon...
An understanding of the physical solutions and the blow-up phenomenon for Nonlinear Noisy Leaky Integrate and Fire neuronal models ---------------------------------- Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS http://www.ihp.fr/ Rejoingez les réseaux sociaux de l'IH
From playlist Workshop "Workshop on Mathematical Modeling and Statistical Analysis in Neuroscience" - January 31st - February 4th, 2022
What is common between falling cats and the Quantum Hall Effect? by Alexander Abanov
PUBLIC LECTURE WHAT IS COMMON BETWEEN FALLING CATS AND THE QUANTUM HALL EFFECT? SPEAKER: Alexander Abanov (Stony Brook University, New York) DATE: 10 August 2018, 16:00 to 18:00 VENUE: Chandrasekhar Auditorium, ICTS, Bangalore. Have you ever seen how a cat lands on its feet? Even 6 we
From playlist Public Lectures
Dominique Barbolosi : Exemples de modélisation mathématiques en médecine - Partie 1
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Mathematical Aspects of Computer Science
IMS Public Lecture: Some Mathematical Insights into Aging and Mortality
Steven Evans, University of California at Berkeley, USA
From playlist Public Lectures
Computational Insights and the Theory of Evolution
(April 25, 2012) Christos Papadimitriou discusses how some recent computational techniques have provided some unique insights into the theory of evolution. Things such as genetic algorithms and Boolean functions have helped us to better understand certain aspects of evolution and populatio
From playlist Engineering
Jean Laurent Bonnafé, co-Président du Comité de campagne de l'IHES
Intervention de Jean-Laurent Bonnafé, Administrateur Directeur Général de BNP Paribas et co-Président du Comité de campagne, lors de la cérémonie de clôture de la campagne de levée de fonds de l'IHES le 24 octobre 2022 à la Caisse des Dépôts.
From playlist Cérémonie de clôture 24 octobre 2022
Mean field theory of the glass transition (Lecture 2) by Francesco Zamponi
PROGRAM ENTROPY, INFORMATION AND ORDER IN SOFT MATTER ORGANIZERS: Bulbul Chakraborty, Pinaki Chaudhuri, Chandan Dasgupta, Marjolein Dijkstra, Smarajit Karmakar, Vijaykumar Krishnamurthy, Jorge Kurchan, Madan Rao, Srikanth Sastry and Francesco Sciortino DATE: 27 August 2018 to 02 Novemb
From playlist Entropy, Information and Order in Soft Matter
Kinks, Cusps, and Plateaus in the Transition Dynamics of a Bloch State by Jiang min Zhang
Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q
From playlist Open Quantum Systems
11_6_1 Contours and Tangents to Contours Part 1
A contour is simply the intersection of the curve of a function and a plane or hyperplane at a specific level. The gradient of the original function is a vector perpendicular to the tangent of the contour at a point on the contour.
From playlist Advanced Calculus / Multivariable Calculus
Calculus - Understanding the derivative of a function at a point
In this video we'll cover what it means to be the derivative of a function at a point. This ties into the slope of a tangent line, as well as how a function is changing at a given point. Watch carefully how we use limits to build this definition of a derivative. Near the end I'll also s
From playlist Calculus
Maria Kieferova - Training quantum neural networks with an unbounded loss function - IPAM at UCLA
Recorded 27 January 2022. Maria Kieferova of the University of Technology Sydney presents "Training quantum neural networks with an unbounded loss function" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: Quantum neural networks (QNNs) are a framework for creating quantum al
From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022